Editors:
- Several world experts present one part of the mathematical heritage left to us by Kolmogorov
- Rather than present detailed proofs, the main ideas are described.
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Table of contents (15 chapters)
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Front Matter
About this book
A.N. Kolmogorov (Tambov 1903, Moscow 1987) was one of the most brilliant mathematicians that the world has ever known. Incredibly deep and creative, he was able to approach each subject with a completely new point of view: in a few magnificent pages, which are models of shrewdness and imagination, and which astounded his contemporaries, he changed drastically the landscape of the subject.
Each chapter treats one of Kolmogorov's research themes, or a subject that was invented as a consequence of his discoveries. The authors present here his contributions, his methods, the perspectives he opened to us, the way in which this research has evolved up to now, along with examples of recent applications and a presentation of the modern prospects.
This book can be read by anyone with a master's (or even a bachelor's) degree in mathematics, computer science or physics, or more generally by anyone who likes mathematical ideas. Rather than presenting detailed proofs, the main ideas are described, and a bibliography for those who wish to understand the technical details.
Reviews
From the reviews:
"Andrei N. Kolmogorov (1903-1987) was one of the most prolific and influential mathematicians of the twentieth century. … this collection would be read by those who hold only a bachelor’s degree in mathematics, computer science or physics, and more generally, by those interested in mathematical ideas. … This impressive collection gives the reader an understanding of the depth and breadth of Kolmogorov’s contributions to mathematics. Each chapter includes a substantial list of references that invite further reading." (Elena Anne Marchisotto, MathDL, December, 2007)
"The object of Kolmogorov’s Heritage in Mathematics is to enable the general mathematical reader (educated to master’s level) to grasp something of Kolmogorov’s achievements. … I can judge, it is successful in its aim. … those mathematicians with a sense of history, who wish to place themselves within the general culture of mathematics, will find this book a worthy memorial to a great man." (T. W. Korner, SIAM reviews, Vol. 50 (4), December, 2008)
Editors and Affiliations
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Institut de Mathématiques, Université Bordeaux 1, 351 cours de la Libération, France
Éric Charpentier
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Laboratoire de Physique Théorique de la Matiére Condensée, Université Pierre et Marie Curie, 4 Place Jussieu, France
Annick Lesne
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Institut des Hautes Études Scientifiques Le Bois-Marie, France
Annick Lesne
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Institut de Mathématiques, Université Bordeaux 1, 351 cours de la Libréation, France
Nikolaï K. Nikolski
Bibliographic Information
Book Title: Kolmogorov's Heritage in Mathematics
Editors: Éric Charpentier, Annick Lesne, Nikolaï K. Nikolski
DOI: https://doi.org/10.1007/978-3-540-36351-4
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2007
Hardcover ISBN: 978-3-540-36349-1Published: 29 August 2007
Softcover ISBN: 978-3-642-07165-2Published: 14 October 2010
eBook ISBN: 978-3-540-36351-4Published: 13 September 2007
Edition Number: 1
Number of Pages: VIII, 318
Number of Illustrations: 38 b/w illustrations
Additional Information: Original French edition published by Éditions Belin, 2004
Topics: Mathematical Logic and Foundations, Probability Theory and Stochastic Processes, Dynamical Systems and Ergodic Theory, Fourier Analysis, Topology